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19966812000 = 253538320047
BaseRepresentation
bin10010100110000111…
…010101111101100000
31220112112002010212120
4102212013111331200
5311343000441000
613101142024240
71304540046612
oct224607257540
956475063776
1019966812000
118516821423
123a52a18080
131b62857875
14d75b26db2
157bcdb26a0
hex4a61d5f60

19966812000 has 192 divisors, whose sum is σ = 66202665984. Its totient is φ = 5260070400.

The previous prime is 19966811999. The next prime is 19966812013. The reversal of 19966812000 is 21866991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985977 + ... + 1006023.

It is an arithmetic number, because the mean of its divisors is an integer number (344805552).

Almost surely, 219966812000 is an apocalyptic number.

19966812000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19966812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33101332992).

19966812000 is an abundant number, since it is smaller than the sum of its proper divisors (46235853984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19966812000 is a wasteful number, since it uses less digits than its factorization.

19966812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20158 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 19966812000 in words is "nineteen billion, nine hundred sixty-six million, eight hundred twelve thousand".